Physics II / The First Law and Heat Capacities
Practice question · Numerical answer

One mole of a monatomic ideal gas has CV=12.47C_V = 12.47 J/mol/K. Compute its CPC_P in J/mol/K, using R=8.314R = 8.314 J/mol/K, to two decimal places.

Hints
  1. For an ideal gas the two heat capacities differ by R per mole.
  2. Compute 12.47 + 8.314.
Show the answer

20.79 (answers within ±0.05 count)

Why

CP=CV+R=12.47+8.314=20.79C_P = C_V + R = 12.47 + 8.314 = 20.79 J/mol/K. The extra RR is exactly the work the gas does expanding against constant pressure while being warmed.

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